In order to fully explore the dispatching potential of integrated energy microgrid (IEM) and promote the transformation of new power system, a collaborative distributed optimal operation method of multi-integrated energy microgrid access to distribution network is proposed. Firstly, an IEM model considering carbon capture and two-stage power-to-gas devices is constructed, and multiple types of hydrogen energy applications including hydrogen-doped gas turbines and hydrogen fuel cells are constructed to jointly reduce carbon emissions and fully tap the dispatching potential of carbon capture devices and hydrogen energy. Then, in view of the problem of multi-integrated energy microgrid access to the distribution network, the integrated energy microgrid and the distribution network are regarded as different sub-regions, and the distributed optimal operation model of multi-integrated energy microgrid access distribution network is established. The alternative direction method of multipliers (ADMM) was used to solve the model. Finally, the simulation results based on the improved IEEE33-node distribution network show that the system scheduling cost is reduced by 10% and the carbon emission is reduced by about 65% after the multi-IEM access distribution network system considering the electricity-carbon-hydrogen coupling, and the difference between the results obtained by distributed optimization and the centralized one is only 0.8%, which verifies the effectiveness and superiority of the proposed method.